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cant tell u how many times ive seen people use AD and DPS interchangeably when AP champs also do DPS

EDIT: Added support

EDIT2:
Today, 11:55 AM
DPS
Acronym meaning Damage Per Second. Often used in role playing games such as World of Warcraft, Defense of the Ancients, and Diablo. Used to measure how much damage per second a player is inflicting.
Hero 1 hits once per second and deals 100 damage. His DPS is 100.

Hero 2 hits twice per second and deals 50 damage. His DPS is 100.

Both Heroes purchase an item that grants 100 bonus damage.

Hero 1 now hits once per second and deals 200 damage. His DPS is 200.

Hero 2 now hits twice per second and deals 150 damage. His DPS is 300.

DPS
Used in MMORPGs, DPS stands for Damage Per Second, and has two meanings. 1) As an adjective, it describes how much damage a weapon or spell does each second. 2) As a noun, it refers to a character class or specialization which focuses on doing a lot of damage quickly, or in bursts.
1) A dagger has a rating of 112 DPS. That means that the damage it causes per hit, divided by the time it takes to swing with it, comes out to 112.
2) Mages, Rogues, Rangers, and the like focus on dealing a lot of damage, as opposed to tanks who take damage, or healers, who heal damage. Therefore, they are referred to as DPS classes

DPS is for physicals for a reason. Mages have to have spells to do anything, While DPS like Teemo, Ashe, Sivir, and others ALWAYS do that dmg, or somewhere around it. Mages aren't dmg per second because the dmg is unsure.

cant tell u how many times ive seen people use AD and DPS interchangeably when AP champs also do DPS

DPS does mean damage per second, but people really use it to mean "damager per second". AKA someone who focuses on dealing as much damage as possible per second. If annie deals 800 damage every 8 seconds, she deals 100 DPS. If master yi hits for 125 every 0.5 second, he deals 250 DPS. Who's the true DPS? Master Yi. Annie is not a DPS.

EDIT: For the sake of adding an example:
A good team comp is usually 1-2 DPS, 2 casters, 1-2 tanks. Now. If "DPS" really meant what you said, would
Annie, Ryze, Veigar, Chogath and Amumu really be a good team comp? No. Not really.

But if "DPS" means what it really means, then Master Yi, Twisted Fate, Annie, Veigar and Amumu would be a good team comp. Yes?